The vet begs him to let him go, but instead Saxon forces the man to drive with him to the hospital.

There,
Saxon cuts out his tongue, and uses the medical emergency to attract
attention away from himself, as he enters the hospital and begins to
search for Deb.

Q. What is it actually in real life?

A. A storefront in a strip mall.

Q. Where can I find it in real life?

A. This is our old friend, the strip mall at6000 Fountain Avenue, in Hollywood.

It's at the southwest corner of Fountain & Gordon Street, right across the street from the studio where they film Dexter.

The
location: Veterinary Clinic

In
the scene, Saxon is parked on the north side of Fountain Avenue,
looking south at the strip mall, when he notices that there is a vet
there.They put up a fake street sign reading "Grand Ave" on Gordon Street, in addition to the fake veterinary clinic signs.

They have used this mini-mall a zillion times over the eight season run of this show.

And it may hold the series record for posing as so many different locations, such as:

In Season 2, it was The Swamp bar where Dexter stalked Santos Jiminez, the man who murdered Dexter's mother.

In Season 3, it was the tailor shop where Dexter picked up his wedding tuxedo (before being abducted by the Skinner). For that scene, they used storefront 6014, the same shop they turned into a veterinary clinic for this scene.

In Season 8, Debra got busted for DUI while parked right in front of this strip mall.

So, it's somewhat appropriate that
they filmed this storm-prep scene on their very last day of filming,
(on the same day they shot the Argentina café scene inside the studio),
making this mini-mall the very last Dexter exterior location ever filmed in Southern California.